Question

Right after the poll stations are closed at 17:00, a political candidate receives the
information that out of the 50 people interviewed her approval “count” is 24. As a statistics
lover, she immediately tests the null hypothesis that her population approval rate is less than
or equal 0.50 against its respective alternative, at the 5% level of statistical significance. What
is the conclusion of this test? Suppose in every consecutive 15 minutes, number of people
interviewed increases by 5 and approval count increases by 4. Find the earliest time, HH:MM,
that she can declare her victory based on her tests of hypotheses. Note that a formal
statistical/algebraic solution is expected with proper terminology and notation.

Answer 1

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